• Reduze

  • Referenced in 79 articles [sw10354]
  • Reduze – Feynman integral reduction in C++. Reduze is a computer program for reducing Feynman integrals...
  • FIRE

  • Referenced in 72 articles [sw10355]
  • Algorithm FIRE-Feynman integral reduction. The recently developed algorithm FIRE performs the reduction of Feynman...
  • FIRE5

  • Referenced in 50 articles [sw16781]
  • FIRE5: a C++ implementation of Feynman integral REduction. In this paper the C++ version ... presented – a powerful program performing Feynman integral reduction to master integrals. All previous versions used ... performance and allows one to reduce Feynman integrals in previously impossible situations...
  • FIESTA

  • Referenced in 43 articles [sw16360]
  • only as a tool to evaluate Feynman integrals numerically, but also to expand Feynman integrals...
  • AMBRE

  • Referenced in 29 articles [sw00038]
  • construction of Mellin-Barnes representations for Feynman integrals. The Mathematica toolkit AMBRE derives Mellin-Barnes ... representations for Feynman integrals in d=4-2ϵ dimensions. It may be applied ... multi-leg multi-loop scalar and tensor integrals. The package uses a loop-by-loop ... package contains various sample applications for Feynman integrals with up to six external particles...
  • HyperInt

  • Referenced in 42 articles [sw25867]
  • HyperInt: This Maple program can integrate some rational linear combinations of multiple polylogarithms. The name ... focus is the application to compute Feynman integrals, but it can be useful more generally...
  • Forcer

  • Referenced in 21 articles [sw28330]
  • evaluating four-loop massless propagator-type Feynman integrals in an efficient way. Our program Forcer ... reductions of the aforementioned class of Feynman integrals into a set of master integrals...
  • Nestedsums

  • Referenced in 28 articles [sw15013]
  • occur frequently in the calculation of Feynman integrals in quantum field theory. Their expansion...
  • Fuchsia

  • Referenced in 20 articles [sw22363]
  • tool for reducing differential equations for Feynman master integrals to epsilon form. Nature of problem ... Feynman master integrals may be calculated from solutions of a linear system of differential equations ... transformations can be used to evaluate Feynman master integrals. Solution method: The solution method...
  • CutTools

  • Referenced in 102 articles [sw07230]
  • loop scalar integrals from a user defined (sub)-amplitude or Feynman Diagram, as well...
  • Kira

  • Referenced in 19 articles [sw34816]
  • Kira - A Feynman integral reduction program. n this article, we present a new implementation...
  • CompHep

  • Referenced in 40 articles [sw06473]
  • package for evaluation of Feynman diagrams and integration over multi-particle phase space. CompHEP...
  • FIESTA 3

  • Referenced in 16 articles [sw18212]
  • major release of the program FIESTA (Feynman Integral Evaluation by a Sector decomposiTion Approach). This...
  • ellipticcovers.lib

  • Referenced in 9 articles [sw20805]
  • elliptic curve with certain integrals over Feynman graphs. We prove a tropical generalization of mirror ... tropical elliptic curve to more refined Feynman integrals. This result easily implies the tropical analogue ... techniques for computing Feynman integrals to prove that they are quasimodular forms. Also ... numbers of the elliptic curve as integrals over Feynman graphs...
  • Azurite

  • Referenced in 20 articles [sw20252]
  • finding bases of loop integrals. For any given Feynman graph, the set of integrals with ... this vector space. It constructs the needed integration-by-parts (IBP) identities ... analyses of the symmetries of the involved Feynman diagrams and is powered by the computer...
  • TARCER

  • Referenced in 11 articles [sw00948]
  • integrals. Nature of problem: Reduction of Feynman integrals in pertubative two-loop calculations. Solution method...
  • TSIL

  • Referenced in 10 articles [sw00981]
  • problem: Numerical evaluation of dimensionally regulated Feynman integrals needed in two-loop self-energy calculations...
  • LERG-I

  • Referenced in 12 articles [sw02890]
  • Algebraic reduction of Feynman diagrams to scalar integrals: A {it Mathematica} implementation of LERG ... reduction of tensor integrals, encountered in one-loop Feynman diagram calculations, to scalar integrals...
  • MPL

  • Referenced in 7 articles [sw22164]
  • procedures for the analytic computation of period integrals on ℳ 0,n . It supports ... computation of a certain class of Feynman integrals...
  • lsjk

  • Referenced in 7 articles [sw08490]
  • These functions appear in Feynman integrals. Solution method: Series representation for the real argument...